Mott transitions in a three-component Falicov-Kimball model: A slave boson mean-field study

Le, Duc-Anh; Tran, Minh-Tien

doi:10.1103/physrevb.91.195144

Cited by 6 publications

(10 citation statements)

References 48 publications

(152 reference statements)

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“…Hamiltonian in Eq. ( 1) is a special case of the three-component FKM [7][8][9] with a three-body interaction…”

Section: Model and Dynamical Mean-field Theorymentioning

confidence: 99%

“…Actually, the FKM proposed by Hohenadler and Assaad is a special symmetric case of the generalized three-component FKM with a three-body interaction [7][8][9]. The threecomponent FKM exhibits various Mott insulators with different natures [7][8][9]. In contrast to the previous studies [6][7][8][9], in this work we focus on the low-temperature phase, where a long-range ordering may occur.…”

Section: Introductionmentioning

confidence: 97%

“…Recently, Hohenadler and Assaad have introduced a Falicov-Kimball model (FKM), which thermodynamically reduces the local Coulomb interaction to attraction or repulsion [6]. This FKM can be considered as a three-component generation of the standard spinless FKM [7][8][9]. The spinless FKM, or alternatively, a simplified Hubbard model, where one of the two spin species is movable, and the other is localized, was introduced as a minimal model for studying various phenomena such as a semiconductor-metal transition, crystallization, and correlations in alloys [10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

“…We will show this realization of the electron fractionalization in the FKM proposed by Hohenadler and Assaad at low-temperature. Actually, the FKM proposed by Hohenadler and Assaad is a special symmetric case of the generalized three-component FKM with a three-body interaction [7][8][9]. The threecomponent FKM exhibits various Mott insulators with different natures [7][8][9].…”

Section: Introductionmentioning

confidence: 99%

“…The threecomponent FKM exhibits various Mott insulators with different natures [7][8][9]. In contrast to the previous studies [6][7][8][9], in this work we focus on the low-temperature phase, where a long-range ordering may occur. We use the dynamical mean-field theory (DMFT) to investigate a possibility of electron fractionalization.…”

Section: Introductionmentioning

confidence: 99%

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Fractionalized long-range ordered state in a Falicov-Kimball model

Tran

2019

Phys. Rev. B

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A Falicov-Kimball model which thermodynamically reduces the local Coulomb interaction of particles to attraction or repulsion is studied within the dynamical mean-field theory. In the strong interaction regime a fractionalization of particles into charge and spin objects, the physical properties of which are different from the whole particles, is observed in both high-and low-temperature phases. At high temperature and strong interaction the single-particle density of states opens an excitation gap, but the charge compressibility and the spin susceptibility exhibit the features of gapless excitations. The low-temperature phase has a long-range order, and the single-particle spectra are always gapped, while the charge and spin excitations are gapless in the strong interaction regime. In the fractionalized long-range ordered phase both the charge compressibility and the spin susceptibility are universal scaling functions of temperature.

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“…Hamiltonian in Eq. ( 1) is a special case of the three-component FKM [7][8][9] with a three-body interaction…”

Section: Model and Dynamical Mean-field Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Fractionalized long-range ordered state in a Falicov-Kimball model

Tran

2019

Phys. Rev. B

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Selective Kondo strong coupling in magnetic impurity flat-band lattices

Nguyen¹,

Tran²,

Nguyễn³

et al. 2019

Annals of Physics

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The periodic Anderson impurity model on the Lieb lattice is studied by the slave-boson mean-field approximation in the strong interaction limit. The electron structure of conduction electrons on the Lieb lattice features both the band flatness and soft gap at low energy. With these features conduction electrons can form both the soft-gap and the molecular Kondo singlets with the magnetic impurities, and this leads to a competition between the soft-gap and the molecular Kondo effects in the lattice. We find a selective Kondo strong coupling, where at selected sites the magnetic impurities are strongly coupled to conduction electrons, and at the remaining sites they are decoupled from the lattice. The selective Kondo strong coupling occurs between the full local moment and the full strong coupling regimes, and it yields an effective lattice depletion. At low temperature the selection of the Kondo strong coupling is dominant at those lattice sites, where the local density of states of conduction electrons exhibits the flat-band feature, independently of the impurity parameters. Rich phase diagrams for different model parameters are obtained. leads to a competition between different Kondo singlet formations. One may expect from the competition at selected sites the magnetic impurities are strongly coupled to conduction electrons leaving the impurities at other sites are decoupled from the lattice. This is reminiscent of the orbital-selective Mott insulator, where the narrower orbital band becomes insulating, while the wider band is still metallic [15,16,17,18,19,20,21]. The selective Kondo strong coupling yields an effective lattice depletion. In strongly correlated electron systems the lattice depletion can lead to intriguing phenomena such as ferrimagnetism [22,23] or the spin liquid behavior [24,25]. The selective Kondo strong coupling is very similar to the fractionalized Fermi liquid with the breakdown of Kondo screening [26,27]. In the fractionalized Fermi liquid the local moments are partially decoupled from conduction electrons as a result of the breakdown of Kondo screening across the transition from a heavy fermion liquid to a non-magnetic phase. Recently, experiments found a partial Kondo screening of the local moments in heavy fermions on geometrically frustrated lattices [28,29].In this paper we investigate a possibility of the selective Kondo strong coupling in the magnetic impurity flat-band lattices. One of the simplest flat-band lattices is the Lieb lattice, where the electron structure of the tight-binding model features both the band flatness and the Dirac linear dispersion at low energy [30,31]. With the such electron structure the Lieb lattice allows us to study the competition between the molecular and the soft-gap Kondo strong couplings. As a result of the competition a selective Kondo strong coupling may occur. For the purpose we study the periodic Anderson model (PAM) on the Lieb lattice. The model essentially describes the hybridization between the magnetic impurities and conduction electron...

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Hartree-Fock exploration of electronic ferroelectricity, valence transitions, and metal-insulator transitions in the extended Falicov-Kimball model

Farkašovský

2023

Phys. Rev. B

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Mott transitions in a three-component Falicov-Kimball model: A slave boson mean-field study

Cited by 6 publications

References 48 publications

Fractionalized long-range ordered state in a Falicov-Kimball model

Fractionalized long-range ordered state in a Falicov-Kimball model

Selective Kondo strong coupling in magnetic impurity flat-band lattices

Hartree-Fock exploration of electronic ferroelectricity, valence transitions, and metal-insulator transitions in the extended Falicov-Kimball model

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